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Finding the Fourth Proportional to 205,359.70, 308,093.55 and 65,118.10

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Solution

The fourth proportional to 205,359.70, 308,093.55 and 65,118.10 is: 97,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,359.70 : 308,093.55 = 65,118.10 : x
  2. Step 2: Convert to fraction form
    205,359.70/308,093.55 = 65,118.10/x
  3. Step 3: Cross multiply
    205,359.70x = 308,093.55 × 65,118.10
  4. Step 4: Simplify right side
    205,359.70x = 20,062,466,598.26
  5. Step 5: Solve for x
    x = 20,062,466,598.26/205,359.70
  6. Step 6: Final answer
    x = 97,694.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.